Observation of the non-Hermitian skin effect and Fermi skin on a digital
quantum computer
- URL: http://arxiv.org/abs/2311.10143v2
- Date: Sun, 17 Dec 2023 07:22:43 GMT
- Title: Observation of the non-Hermitian skin effect and Fermi skin on a digital
quantum computer
- Authors: Ruizhe Shen, Tianqi Chen, Bo Yang, Ching Hua Lee
- Abstract summary: We report the first observation of the non-Hermitian skin effect (NHSE) on a universal quantum processor.
We show how such a non-unitary operation can be systematically realized by post-selecting multiple ancilla qubits.
Our study represents a critical milestone in the quantum simulation of non-Hermitian lattice phenomena on present-day quantum computers.
- Score: 8.29645407851839
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Non-Hermitian physics has attracted considerable attention in the recent
years, in particular the non-Hermitian skin effect (NHSE) for its extreme
sensitivity and non-locality. While the NHSE has been physically observed in
various classical metamaterials and even ultracold atomic arrays, its
highly-nontrivial implications in many-body dynamics have never been
experimentally investigated. In this work, we report the first observation of
the NHSE on a universal quantum processor, as well as its characteristic but
elusive Fermi skin from many-fermion statistics. To implement NHSE dynamics on
a quantum computer, the effective time-evolution circuit not only needs to be
non-reciprocal and non-unitary, but must also be scaled up to a sufficient
number of lattice qubits to achieve spatial non-locality. We show how such a
non-unitary operation can be systematically realized by post-selecting multiple
ancilla qubits, as demonstrated through two paradigmatic non-reciprocal models
on a noisy IBM quantum processor, with clear signatures of asymmetric spatial
propagation and many-body Fermi skin accumulation. To minimize errors from
inevitable device noise, time evolution is performed using a trainable
optimized quantum circuit produced with variational quantum algorithms. Our
study represents a critical milestone in the quantum simulation of
non-Hermitian lattice phenomena on present-day quantum computers, and can be
readily generalized to more sophisticated many-body models with the remarkable
programmability of quantum computers.
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